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Finding the Fourth Proportional to 398,416.27, 597,741.13 and 128,538.94

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Solution

The fourth proportional to 398,416.27, 597,741.13 and 128,538.94 is: 192,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,416.27 : 597,741.13 = 128,538.94 : x
  2. Step 2: Convert to fraction form
    398,416.27/597,741.13 = 128,538.94/x
  3. Step 3: Cross multiply
    398,416.27x = 597,741.13 × 128,538.94
  4. Step 4: Simplify right side
    398,416.27x = 76,833,011,244.60
  5. Step 5: Solve for x
    x = 76,833,011,244.60/398,416.27
  6. Step 6: Final answer
    x = 192,846.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.